{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T12:45:00Z","timestamp":1769604300425,"version":"3.49.0"},"reference-count":32,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,5,25]],"date-time":"2024-05-25T00:00:00Z","timestamp":1716595200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000038","name":"NSERC","doi-asserted-by":"publisher","award":["RGPIN-2021-03935"],"award-info":[{"award-number":["RGPIN-2021-03935"]}],"id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Measuring temperature inside chemical reactors is crucial to ensuring process control and safety. However, conventional methods face a number of limitations, such as the invasiveness and the restricted dynamic range. This paper presents a novel approach using ultrasound transducers to enable accurate temperature measurements. Our experiments, conducted within a temperature range of 28.8 to 83.8 \u00b0C, reveal a minimal temperature accuracy of 98.6% within the critical zone spanning between 70.5 and 75 \u00b0C, and an accuracy of over 99% outside this critical zone. The experiments focused on a homogeneous environment of distilled water within a stainless-steel tank. This approach will be extended in a future research in order to diversify the experimental media and non-uniform environments, while promising broader applications in chemical process monitoring and control.<\/jats:p>","DOI":"10.3390\/s24113404","type":"journal-article","created":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T09:33:31Z","timestamp":1716802411000},"page":"3404","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Innovative Non-Invasive and Non-Intrusive Precision Thermometry in Stainless-Steel Tanks Using Ultrasound Transducers"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2040-2501","authenticated-orcid":false,"given":"Ahmed","family":"Bouzid","sequence":"first","affiliation":[{"name":"MOTCE Laboratory, Department of Computer Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"},{"name":"PEARL Laboratory, Department of Chemical Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saad","family":"Chidami","sequence":"additional","affiliation":[{"name":"PEARL Laboratory, Department of Chemical Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-8113-4183","authenticated-orcid":false,"given":"Tristan Quentin","family":"Lailler","sequence":"additional","affiliation":[{"name":"MOTCE Laboratory, Department of Computer Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1543-6494","authenticated-orcid":false,"given":"Adri\u00e1n Carrillo","family":"Garc\u00eda","sequence":"additional","affiliation":[{"name":"PEARL Laboratory, Department of Chemical Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9000-5467","authenticated-orcid":false,"given":"Tarek","family":"Ould-Bachir","sequence":"additional","affiliation":[{"name":"MOTCE Laboratory, Department of Computer Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8353-6924","authenticated-orcid":false,"given":"Jamal","family":"Chaouki","sequence":"additional","affiliation":[{"name":"PEARL Laboratory, Department of Chemical Engineering, Polytechnique Montr\u00e9al, Montreal, QC H3T 1J4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Dutz, F.J., Heinrich, A., Bank, R., Koch, A.W., and Roths, J. (2019). Fiber-optic multipoint sensor system with low drift for the long-term monitoring of high-temperature distributions in chemical reactors. Sensors, 19.","DOI":"10.3390\/s19245476"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"114122","DOI":"10.1016\/j.applthermaleng.2019.114122","article-title":"Thermal condition monitoring in a chemical looping combustion reactor for real-time operation diagnosis","volume":"162","author":"Wang","year":"2019","journal-title":"Appl. Therm. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Garc\u00eda, A., Toral, V., M\u00e1rquez, \u00c1., Garc\u00eda, A., Castillo, E., Parrilla, L., and Morales, D.P. (2018). Non-intrusive tank-filling sensor based on sound resonance. Electronics, 7.","DOI":"10.3390\/electronics7120378"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1016\/j.snb.2014.12.103","article-title":"Non-invasive process tomography in chemical mixtures\u2014A review","volume":"210","author":"Wahab","year":"2015","journal-title":"Sens. Actuators B Chem."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1134\/S1063771022050037","article-title":"Acoustic resonance spectroscopy of piezoelectric crystals under non-uniform heating","volume":"68","author":"Aloyan","year":"2022","journal-title":"Acoust. Phys."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"124519","DOI":"10.1063\/1.3095471","article-title":"Bulk viscosity and compressibility measurement using acoustic spectroscopy","volume":"130","author":"Dukhin","year":"2009","journal-title":"J. Chem. Phys."},{"key":"ref_7","first-page":"012011","article-title":"Temperature dependence of bulk viscosity in water using acoustic spectroscopy","volume":"Volume 269","author":"Holmes","year":"2011","journal-title":"Journal of Physics: Conference Series"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.infrared.2013.03.006","article-title":"Infrared thermography for condition monitoring\u2014A review","volume":"60","author":"Bagavathiappan","year":"2013","journal-title":"Infrared Phys. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Liang, H., Wang, J., Zhang, L., Liu, J., and Wang, S. (2022). Review of optical fiber sensors for temperature, salinity, and pressure sensing and measurement in seawater. Sensors, 22.","DOI":"10.3390\/s22145363"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1834","DOI":"10.1007\/s00348-014-1834-1","article-title":"Comparison of magnetic resonance concentration measurements in water to temperature measurements in compressible air flows","volume":"55","author":"Yapa","year":"2014","journal-title":"Exp. Fluids"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1366\/14-07575","article-title":"Development and metrological characterization of a tunable diode laser absorption spectroscopy (TDLAS) spectrometer for simultaneous absolute measurement of carbon dioxide and water vapor","volume":"69","author":"Wagner","year":"2015","journal-title":"Appl. Spectrosc."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"119098","DOI":"10.1016\/j.powtec.2023.119098","article-title":"Non-invasive and non-intrusive diagnostic techniques for gas-solid fluidized beds\u2014A review","volume":"431","author":"Errigo","year":"2023","journal-title":"Powder Technol."},{"key":"ref_13","first-page":"981","article-title":"Ultrasonic Distance Measurement Method by Using the Envelope Model of Received Signal Based on System Dynamic Model of Ultrasonic Transducers","volume":"13","author":"Choe","year":"2018","journal-title":"J. Electr. Eng. Technol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/s00348-003-0606-0","article-title":"Velocity measurements at high temperatures by ultrasound Doppler velocimetry using an acoustic wave guide","volume":"35","author":"Eckert","year":"2003","journal-title":"Exp. Fluids"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3359","DOI":"10.1109\/TIM.2019.2939932","article-title":"A novel ANN-based adaptive ultrasonic measurement system for accurate water level monitoring","volume":"69","author":"Sahoo","year":"2019","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.addr.2020.11.001","article-title":"Recent technological advancements in thermometry","volume":"163","author":"Kokuryo","year":"2020","journal-title":"Adv. Drug Deliv. Rev."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"065001","DOI":"10.1088\/1361-6439\/acca2b","article-title":"Noninvasive measurement of temperature for simulated tissue based on piezoelectric micromachined ultrasonic transducers","volume":"33","author":"Chen","year":"2023","journal-title":"J. Micromech. Microeng."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"106689","DOI":"10.1016\/j.ultras.2022.106689","article-title":"Unsupervised deep learning based approach to temperature monitoring in focused ultrasound treatment","volume":"122","author":"Byra","year":"2022","journal-title":"Ultrasonics"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TIM.2021.3123218","article-title":"A reconstruction method of boiler furnace temperature distribution based on acoustic measurement","volume":"70","author":"Wang","year":"2021","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"115693","DOI":"10.1016\/j.applthermaleng.2020.115693","article-title":"3D high-quality temperature-field reconstruction method in furnace based on acoustic tomography","volume":"179","author":"Kong","year":"2020","journal-title":"Appl. Therm. Eng."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"111642","DOI":"10.1016\/j.measurement.2022.111642","article-title":"A temperature field reconstruction method based on acoustic thermometry","volume":"200","author":"Zhong","year":"2022","journal-title":"Measurement"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"110759","DOI":"10.1016\/j.expthermflusci.2022.110759","article-title":"A novel time-of-flight estimation method of acoustic signals for temperature and velocity measurement of gas medium","volume":"140","author":"Liu","year":"2023","journal-title":"Exp. Therm. Fluid Sci."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1515\/teme-2022-0031","article-title":"Ultrasonic measurement and methods for reconstruction of temperature fields for the use in bioreactors","volume":"89","author":"Schwarz","year":"2022","journal-title":"Tm-Tech. Mess."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"4080","DOI":"10.1109\/JSEN.2019.2961614","article-title":"Single-Element Ultrasonic Transducer for Non-Invasive Measurements","volume":"20","author":"Lenner","year":"2019","journal-title":"IEEE Sens. J."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"156396","DOI":"10.1155\/2011\/156396","article-title":"Ultrasonic measurements of temperature in aqueous solutions: Why and how","volume":"2011","author":"Afaneh","year":"2011","journal-title":"Phys. Res. Int."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.phpro.2015.08.116","article-title":"Adaptation of a high frequency ultrasonic transducer to the measurement of water temperature in a nuclear reactor","volume":"70","author":"Zaz","year":"2015","journal-title":"Phys. Procedia"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1065","DOI":"10.1016\/S0301-5629(98)00091-X","article-title":"A simple and accurate formula for the sound velocity in water","volume":"24","author":"Lubbers","year":"1998","journal-title":"Ultrasound Med. Biol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1442","DOI":"10.1121\/1.1913258","article-title":"Speed of sound in pure water","volume":"52","author":"Mader","year":"1972","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1121\/1.1907614","article-title":"Tables of the speed of sound in water","volume":"31","author":"Greenspan","year":"1959","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1121\/1.1907828","article-title":"Speed of sound in distilled water as a function of temperature and pressure","volume":"31","author":"Wilson","year":"1959","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1732","DOI":"10.1121\/1.413048","article-title":"Speed of sound in seawater as a function of salinity, temperature, and pressure","volume":"97","author":"Wong","year":"1995","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_32","first-page":"1","article-title":"A review on acoustic reconstruction of temperature profiles: From time measurement to reconstruction algorithm","volume":"71","author":"Yu","year":"2022","journal-title":"IEEE Trans. Instrum. Meas."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/11\/3404\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:48:38Z","timestamp":1760107718000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/11\/3404"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,25]]},"references-count":32,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2024,6]]}},"alternative-id":["s24113404"],"URL":"https:\/\/doi.org\/10.3390\/s24113404","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,5,25]]}}}